Abstract/Details

Simulations of strongly-interacting fermion systems


2007 2007

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Abstract (summary)

A generic scenario of a crossover between weak-coupling and strong-coupling limits of a many-body quantum system is studied. Powerful numerical methods of investigating the strongly correlated regime are developed and applied to answering a number of important questions of the strongly correlated fermions physics.

The internal structure of an exciton in an insulating medium is studied throughout the crossover between the (analytically solvable) strong- and weak-coupling limits. In the intermediate regime, accurate results for the exciton ground state are obtained and used to establish the limits of applicability of the corresponding limiting cases for the first time.

A novel combination of the diagrammatic determinant Monte Carlo and the worm algorithm is developed and used for investigating the unitarity regime of the BEC-BCS crossover via simulating the dilute Fermi-Hubbard model. Superfluid phase transition and thermodynamic properties of the normal state are characterized for both lattice fermions and continuum unitary Fermi gas. The relation to current experiments with trapped ultracold quantum gases is discussed.

Indexing (details)


Subject
Condensation
Classification
0611: Condensation
Identifier / keyword
Pure sciences; Bose-Einstein condensate; Fermi gas; Fermion; Many-body systems
Title
Simulations of strongly-interacting fermion systems
Author
Burovski, Evgeni
Number of pages
102
Publication year
2007
Degree date
2007
School code
0118
Source
DAI-B 68/02, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Svistunov, Boris V.; Prokof'ev, Nikolay V.
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3254916
ProQuest document ID
304838932
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304838932
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